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On partially commutative groups and the relevant algebras with commutation
E. I. Timoshenko Novosibirsk State Technical University
Abstract:
We consider the algebra $G_\circ$ with commutation on the set of the elements of a partially commutative metabelian group $G$. Under study is the relationship between the universal theories of $G$ and $G_\circ$.
Keywords:
partially commutative group, metabelian group, universal theory, Remeslennikov conjecture, commutation.
Received: 16.01.2022 Revised: 12.03.2022 Accepted: 15.04.2022
Citation:
E. I. Timoshenko, “On partially commutative groups and the relevant algebras with commutation”, Sibirsk. Mat. Zh., 63:5 (2022), 1150–1157; Siberian Math. J., 63:5 (2022), 967–973
Linking options:
https://www.mathnet.ru/eng/smj7720 https://www.mathnet.ru/eng/smj/v63/i5/p1150
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